# Smallest internal angle

Calculate what size has the smallest internal angle of the triangle if values of angles α:β:γ = 3:4:8

Result

x =  36 °

#### Solution:

$k = 180/(3+4+8) = 12 \ \\ α = 3 \cdot \ k = 3 \cdot \ 12 = 36 \ \\ β = 4 \cdot \ k = 4 \cdot \ 12 = 48 \ \\ γ = 8 \cdot \ k = 8 \cdot \ 12 = 96 \ \\ x = α = 36 = 36 ^\circ$

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